Limits of areas: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+13x\) on \(0\le x\le 2\). For the finite sums use 15 equal subintervals.
Find the exact integral.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+14x\) on \(0\le x\le 3\). For the finite sums use 16 equal subintervals.
Find the exact integral.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+14x\) on \(0\le x\le 3\). For the finite sums use 16 equal subintervals.
Find the right-endpoint rectangle sum.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+15x\) on \(0\le x\le 4\). For the finite sums use 17 equal subintervals.
Find the right-endpoint rectangle sum.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: check 3
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+15x\) on \(0\le x\le 4\). For the finite sums use 17 equal subintervals.
Find the left-endpoint rectangle sum.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+16x\) on \(0\le x\le 2\). For the finite sums use 18 equal subintervals.
Find the left-endpoint rectangle sum.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+16x\) on \(0\le x\le 2\). For the finite sums use 18 equal subintervals.
Find the difference between right and left sums.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Limits of areas: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+17x\) on \(0\le x\le 3\). For the finite sums use 19 equal subintervals.
Find the difference between right and left sums.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.